Question
In: Physics
Derive the heat equation for a homogeneous one-dimensional rod with a non-constant crosssection of area A(x)...
Derive the heat equation for a homogeneous one-dimensional rod with a non-constant crosssection of area A(x) and perimeter P(x). Suppose that the lateral surface is not insulated and the amount of heat energy leaving the rod via the lateral surface per unit area per unit time is proportional to the difference of the temperature in the rod and the temperature w(x, t) of the air surrounding the rod (use the coefficient of proportionality α). Furthermore, suppose that there are no heat sources.
Solutions
genius_generous answered 2 years agoRelated Solutions
Derive the heat equation for a homogeneous one-dimensional rod with a non-constant crosssection of area A(x)...
Derive the heat equation for a homogeneous one-dimensional rod
with a non-constant crosssection of area A(x) and perimeter P(x).
Suppose that the lateral surface is not insulated and the amount of
heat energy leaving the rod via the lateral surface per unit area
per unit time is proportional to the difference of the temperature
in the rod and the temperature w(x, t) of the air surrounding the
rod (use the coefficient of proportionality α). Furthermore,
suppose that there are no...
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Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
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